{"id":"https://openalex.org/W2767574409","doi":"https://doi.org/10.1080/00207721.2017.1397809","title":"Global exponential periodicity and stability of memristor-based complex-valued delayed neural networks","display_name":"Global exponential periodicity and stability of memristor-based complex-valued delayed neural networks","publication_year":2017,"publication_date":"2017-11-06","ids":{"openalex":"https://openalex.org/W2767574409","doi":"https://doi.org/10.1080/00207721.2017.1397809","mag":"2767574409"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2017.1397809","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2017.1397809","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100326870","display_name":"Dan Liu","orcid":"https://orcid.org/0000-0003-1754-1332"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Liu","raw_affiliation_strings":["Department of Statistics, China University of Mining and Technology, Xuzhou, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, China University of Mining and Technology, Xuzhou, P.R. China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013161489","display_name":"Song Zhu","orcid":"https://orcid.org/0000-0001-5228-9406"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Song Zhu","raw_affiliation_strings":["Department of Statistics, China University of Mining and Technology, Xuzhou, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, China University of Mining and Technology, Xuzhou, P.R. China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046987693","display_name":"Er Ye","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Er Ye","raw_affiliation_strings":["Department of Fundamental Mathematics, Southeast University, Nanjing, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Fundamental Mathematics, Southeast University, Nanjing, P.R. China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013161489"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":0.8288,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7742817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"2","first_page":"231","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/memristor","display_name":"Memristor","score":0.8111617565155029},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6682152152061462},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6263614892959595},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5900458097457886},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5805371403694153},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.563550591468811},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5625454783439636},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4831404387950897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37897923588752747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3441101908683777},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19895437359809875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11760792136192322},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10645106434822083},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09844350814819336},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09771722555160522}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.8111617565155029},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6682152152061462},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6263614892959595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5900458097457886},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5805371403694153},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.563550591468811},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5625454783439636},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4831404387950897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37897923588752747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3441101908683777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19895437359809875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11760792136192322},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10645106434822083},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09844350814819336},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09771722555160522},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2017.1397809","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2017.1397809","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:49:y:2018:i:2:p:231-245","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2017.1397809","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5170613223","display_name":null,"funder_award_id":"2014XT02","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1964092753","https://openalex.org/W1966279059","https://openalex.org/W1967393005","https://openalex.org/W1973273445","https://openalex.org/W1973352490","https://openalex.org/W1985432114","https://openalex.org/W1994504172","https://openalex.org/W2000273379","https://openalex.org/W2006692115","https://openalex.org/W2007820934","https://openalex.org/W2013605669","https://openalex.org/W2018577927","https://openalex.org/W2019421138","https://openalex.org/W2025808664","https://openalex.org/W2028261238","https://openalex.org/W2030543960","https://openalex.org/W2034359514","https://openalex.org/W2036207080","https://openalex.org/W2042024731","https://openalex.org/W2043274724","https://openalex.org/W2052888871","https://openalex.org/W2056062720","https://openalex.org/W2056229294","https://openalex.org/W2061093063","https://openalex.org/W2061813629","https://openalex.org/W2070261506","https://openalex.org/W2071095458","https://openalex.org/W2071711699","https://openalex.org/W2072338133","https://openalex.org/W2082892213","https://openalex.org/W2089726686","https://openalex.org/W2093712873","https://openalex.org/W2094808436","https://openalex.org/W2102216069","https://openalex.org/W2112181056","https://openalex.org/W2130359005","https://openalex.org/W2157077261","https://openalex.org/W2162651880","https://openalex.org/W2255181855","https://openalex.org/W2279652244","https://openalex.org/W2339919800","https://openalex.org/W2343000015","https://openalex.org/W2344878508","https://openalex.org/W2344902543","https://openalex.org/W2345280790","https://openalex.org/W2520124619","https://openalex.org/W2550108196","https://openalex.org/W2737346335","https://openalex.org/W3021750181","https://openalex.org/W3144308317","https://openalex.org/W3151304249","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W2089936674","https://openalex.org/W1850593173","https://openalex.org/W2921916937","https://openalex.org/W2962472260","https://openalex.org/W2169765193","https://openalex.org/W2378031051","https://openalex.org/W4232625222","https://openalex.org/W1524347954","https://openalex.org/W2770840441","https://openalex.org/W1494666726"],"abstract_inverted_index":{"This":[0],"paper":[1,74],"concentrates":[2],"on":[3],"the":[4,15,30,37,41,62,69,93,96],"dynamical":[5],"behaviours":[6],"of":[7,36,40,64,72,95],"memristor-based":[8],"complex-valued":[9,82],"delayed":[10,84],"neural":[11],"networks.":[12],"By":[13],"constructing":[14],"appropriate":[16],"Lyapunov":[17],"functional":[18],"and":[19,32],"utilising":[20],"some":[21,50],"inequality":[22],"techniques,":[23],"sufficient":[24],"conditions":[25],"are":[26,56],"proposed":[27,45,97],"to":[28,58,91],"guarantee":[29],"existence":[31],"global":[33],"exponential":[34],"stability":[35],"periodic":[38],"solution":[39],"considered":[42],"system.":[43],"The":[44],"results":[46,71],"not":[47],"only":[48],"generalise":[49],"previously":[51],"related":[52],"literatures,":[53],"but":[54],"also":[55],"easy":[57],"be":[59,76],"checked":[60],"with":[61],"parameters":[63],"system":[65],"itself.":[66],"In":[67],"addition,":[68],"theoretical":[70],"this":[73],"may":[75],"helpful":[77],"in":[78],"qualitative":[79],"analysis":[80],"for":[81],"nonlinear":[83],"systems.":[85],"A":[86],"numerical":[87],"example":[88],"is":[89],"given":[90],"demonstrate":[92],"effectiveness":[94],"results.":[98]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}